I wanted to ask that is it permissible for a wife to dance for her husband?s pleasure, in the privacy of their own room? If yes, can it be a provocative dance. You might have heard about one of these dances, which includes belly dancing. It is one of the dances that provoke desire and I think it is prohibited in our religion for women to perform it. But what if a woman performs belly dance for her spouse enjoyment, would it be permissible?
There is one other thing I wanted to ask to make it clear for myself. If a wife is allowed to please her husband by dancing, can she do it with music? If yes then what type of music can she use but if the answer is negative, what is the reason behind it?

Its allowed to have all sorts of pleasures between a man and a woman, to have all sorts of sex styles, any positions, only rear side entry is haram.

Sayyidna Umar had intercourse with his wife, where he entered her from the back (what we call dog style), and he feeled he has done wrong and he went to ask the prophet, and this aya came in, 2:223 Your wives are as a tilth unto you; so approach your tilth when or how ye will; but do some good act for your souls beforehand; and fear Allah. And know that ye are to meet Him (in the Hereafter), and give (these) good tidings to those who believe."

Prophet only said to stay away from the anus. Which implies everything else is allowed.

Its a well known fact (reported in some ahadiths also), at the time of Prophet, that wife were preparing themselves for their husbands at the day of meeting them for intercourse, by using jewelry, perfumes, wearing good dresses and so on.

The way I feel is all sort of pleasure is allowed between husband and wife in their privacy, of course with the exception of anal entry.